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101213220212202 = 23723534792036009
BaseRepresentation
bin10111000000110110001010…
…000010011000110111101010
3111021100220000100012000002010
4113000312022002120313222
5101231234133333242302
6555132413402220350
730214261643612100
oct2700661202306752
9437326010160063
10101213220212202
112a28231620637a
12b4279727b46b6
13446249a615807
141adca63029c70
15ba7bc4e0a16c
hex5c0d8a098dea

101213220212202 has 96 divisors (see below), whose sum is σ = 236635832332800. Its totient is φ = 28775927212032.

The previous prime is 101213220212189. The next prime is 101213220212249. The reversal of 101213220212202 is 202212022312101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48693574 + ... + 50729582.

It is an arithmetic number, because the mean of its divisors is an integer number (2464956586800).

Almost surely, 2101213220212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213220212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118317916166400).

101213220212202 is an abundant number, since it is smaller than the sum of its proper divisors (135422612120598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101213220212202 is a wasteful number, since it uses less digits than its factorization.

101213220212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036860 (or 2036853 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101213220212202 its reverse (202212022312101), we get a palindrome (303425242524303).

The spelling of 101213220212202 in words is "one hundred one trillion, two hundred thirteen billion, two hundred twenty million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 353 479 706 958 1059 1437 2118 2471 2874 3353 4942 6706 7413 10059 14826 17297 20118 23471 34594 46942 51891 70413 103782 140826 169087 338174 507261 1014522 1183609 2036009 2367218 3550827 4072018 6108027 7101654 8285263 12216054 14252063 16570526 24855789 28504126 42756189 49711578 85512378 99764441 199528882 299293323 598586646 718711177 975248311 1437422354 1950496622 2156133531 2925744933 4312267062 5030978239 5851489866 6826738177 10061956478 13653476354 15092934717 20480214531 30185869434 35216847673 40960429062 47787167239 70433695346 95574334478 105650543019 143361501717 211301086038 286723003434 344262653783 688525307566 1032787961349 2065575922698 2409838576481 4819677152962 7229515729443 14459031458886 16868870035367 33737740070734 50606610106101 101213220212202